{"id":9440,"date":"2016-05-03T11:49:42","date_gmt":"2016-05-03T06:19:42","guid":{"rendered":"https:\/\/www.askiitians.com\/blog\/?p=9440"},"modified":"2016-05-03T11:49:42","modified_gmt":"2016-05-03T06:19:42","slug":"5-important-questions-algebra-year-jee-main-advanced","status":"publish","type":"post","link":"https:\/\/www.askiitians.com\/blog\/5-important-questions-algebra-year-jee-main-advanced\/","title":{"rendered":"5 most important questions in Algebra for this year JEE Main and Advanced"},"content":{"rendered":"<p><a href=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/1-1.jpg\"><img fetchpriority=\"high\" decoding=\"async\" class=\"alignright size-full wp-image-9454\" src=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/1-1.jpg\" alt=\"1\" width=\"380\" height=\"314\" \/><\/a><span style=\"color: #000000;\">If you think someone can predict 5 questions from Algebra in JEE then either he is making JEE paper this year or most likely making fool out of you.<\/span><\/p>\n<p><span style=\"color: #000000;\">A question might be wondering in your mind now, that what\u00c3\u00a2\u00e2\u201a\u00ac\u00e2\u201e\u00a2s the need of reading this article?<\/span><\/p>\n<p><span style=\"color: #000000;\">The answer is, these may or may not be the questions coming directly in JEE paper but after doing these questions you will definitely feel confident about your concepts developed so far. The concepts discussed through JUST 5 questions here are very frequently coming in JEE papers as analysed over last 5 years.<\/span><\/p>\n<p><span style=\"color: #000000;\">These will definitely help you crack more than 5 questions in JEE mains and Advance.<\/span><\/p>\n<p><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/2-3.jpg\"><img decoding=\"async\" class=\"alignright size-full wp-image-9443\" src=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/2-3.jpg\" alt=\"2\" width=\"340\" height=\"330\" \/><\/a>Let us first note what all algebra covers<\/span><\/p>\n<ol>\n<li><span style=\"color: #000000;\">Complex Number<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>Quadratic Equations<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">Series and Progressions (Includes Arithmetic, Geometric , Harmonic and Miscellaneous Series)<\/span><\/li>\n<li><span style=\"color: #000000;\">Logarithms<\/span><\/li>\n<li><span style=\"color: #000000;\">Permutations and Combinations<\/span><\/li>\n<li><span style=\"color: #000000;\">Binomial Theorem<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>Matrices and Determinants<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">Means and Variance ( JEE &#8211; Mains Only )<\/span><\/li>\n<li><span style=\"color: #000000;\">Linear Programming ( JEE &#8211; Mains only )<\/span><\/li>\n<li><span style=\"color: #000000;\">Probability<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>Vector<\/strong><\/span><\/li>\n<\/ol>\n<p><span style=\"color: #000000;\">(<em>The ones marked in black are having heavy weightage (at least 2 questions) as observed in last few years.) <\/em><\/span><\/p>\n<p><span style=\"color: #000000;\">From above, it can be concluded that algebra have 8 topics for Advance and 10 topics for JEE mains. Important thing to note is JEE does not ask questions discretely on one topic. A question is always based on multiple concepts from various topics.<\/span><\/p>\n<p><span style=\"color: #000000;\">The weightage for above mentioned topics is 30% which is quite high if I say you need 35% to qualify the exams. After hearing it, I can surely say most of you would be having this reaction.<\/span><\/p>\n<p><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/3-2.jpg\"><img decoding=\"async\" class=\"size-full wp-image-9444 aligncenter\" src=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/3-2.jpg\" alt=\"3\" width=\"645\" height=\"250\" \/><\/a><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>Yes, it means if you study these topics in whole 2-year preparation time along with basic knowledge of some other topics, you can actually clear the cuts off very well. You can make yourself eliminated from those <em>9 lakh 90 thousand people approx<\/em>. who are not able to make into IIT\u00c3\u00a2\u00e2\u201a\u00ac\u00e2\u201e\u00a2s.<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">Let\u00c3\u00a2\u00e2\u201a\u00ac\u00e2\u201e\u00a2s have a look on questions one by one<\/span><\/p>\n<p><span style=\"color: #000000;\">(Please see the <strong>concept analysis<\/strong> after solution as it is actually going to help to do similar questions this year. Please make sure you do all the questions before seeing the solutions. Do post your score in the comment once you have done it.)<\/span><\/p>\n<p><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/4-1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-9445 aligncenter\" src=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/4-1-1024x576.jpg\" alt=\"4\" width=\"697\" height=\"392\" \/><\/a><a style=\"color: #000000;\" href=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/5-1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-9446 alignnone\" src=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/5-1.jpg\" alt=\"5\" width=\"616\" height=\"383\" \/><\/a><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong><u>Concepts Involved<\/u><\/strong>: &#8211; Co-relation between roots and coefficients<\/span><\/p>\n<p><span style=\"color: #000000;\">Harmonic and Arithmetic Progression.<\/span><\/p>\n<p><span style=\"color: #000000;\">These types of questions are very common in IIT-JEE mains and in advance similar question comes with inequality and little application of \u00c3\u00a2\u00e2\u201a\u00ac\u00c5\u201cApplication of Derivative\u00c3\u00a2\u00e2\u201a\u00ac\u00c2\u009d as well.<\/span><br \/>\n<span style=\"color: #000000;\"> <a style=\"color: #000000;\" href=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/6-1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-9447 alignnone\" src=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/6-1.jpg\" alt=\"6\" width=\"625\" height=\"331\" \/><\/a><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong><u>Concept Involved<\/u><\/strong>: &#8211; Conditional Selection.<\/span><br \/>\n<span style=\"color: #000000;\"> Along with it, conditional arrangement which is little bit more difficult can be seen this year.<\/span><\/p>\n<p><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/7-1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-9448 alignnone\" src=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/7-1.jpg\" alt=\"7\" width=\"625\" height=\"375\" \/><\/a><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong><u><a style=\"color: #000000;\" href=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/8.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-9449 alignright\" src=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/8-1024x682.jpg\" alt=\"8\" width=\"347\" height=\"231\" \/><\/a>Concept Involved<\/u><\/strong>: &#8211; Conditional Probability, Combination, Multiplication theorem on Probability.<\/span><\/p>\n<p><span style=\"color: #000000;\">This is a perfect question, similar to which you can see question coming in advance this year. <strong>Baye\u00c3\u00a2\u00e2\u201a\u00ac\u00e2\u201e\u00a2s Theorem<\/strong> is another area which is sure shot in JEE every year. The key thing about probability question is they look difficult in first go but as soon as you see solution it gets too easy. Similar to what would have happened in this question.<\/span><\/p>\n<p><span style=\"color: #000000;\">Have a small break and some water before you start next question if you feel tired. I hope you are solving all questions before looking into solution and analysis.<\/span><\/p>\n<p><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/9.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-9450 alignnone\" src=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/9.jpg\" alt=\"9\" width=\"620\" height=\"489\" \/><\/a><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong><u>Concepts Involved<\/u><\/strong>: &#8211; Vector, Dot Product, Cross Product, and Elimination.<\/span><\/p>\n<p><span style=\"color: #000000;\"><u>This is sure shot question in JEE<\/u>. Every year similar questions are coming where some relation between 2 or 3 vectors is given. Based on that you have to reach a conclusion to find relation as given in options. These questions purely depend on how well you can manipulate algebraic operations on vectors. These questions are not easy to crack as in advance as these are coming as more than one correct MCQ\u00c3\u00a2\u00e2\u201a\u00ac\u00e2\u201e\u00a2s.<\/span><\/p>\n<p><span style=\"color: #000000;\"><a style=\"color: #000000;\" href=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/10.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-9451 alignnone\" src=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/10.jpg\" alt=\"10\" width=\"624\" height=\"289\" \/><\/a><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong><u>Concept Involved<\/u><\/strong>&#8211; Matrices, Composite Function, Determinants. <a style=\"color: #000000;\" href=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/11.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-9452\" src=\"https:\/\/www.askiitians.com\/blog\/wp-content\/uploads\/2016\/05\/11.jpg\" alt=\"11\" width=\"318\" height=\"259\" \/><\/a>At first look this question looks as if its better to leave. Though most of the times where you see composite function questions, it turns out to be very simple. <em>At most of the times either it turns out to be constant function or periodic function.<\/em><\/span><\/p>\n<p><span style=\"color: #000000;\">Yes, you have completed all the questions. Some of you might be thinking that 1-2 questions were really easy. The answer is that in doing too hard we skip the actual questions that come in JEE paper. Secondly the pressure makes these questions tough. Even here also if I would not had provided solutions, then also these questions might have looked relatively difficult.<\/span><\/p>\n<p><span style=\"color: #000000;\">I wish all of you all the very best. Work hard and do prepare strategically in last few days. For any queries please comment and you can also post questions regarding preparation strategies and all.<\/span><\/p>\n<p><span style=\"color: #000000;\">Some of you might be interested in knowing about me. I am Harsh Patodia, Mathematics In House Expert at askIITians mentoring JEE aspirants. I did my graduation from IIT Roorkee. You can refer to<\/span><\/p>\n<p><span style=\"color: #000000;\">some of my self-study packages mentioned below for express preparation for IIT JEE.\u00c3\u201a\u00c2\u00a0 These are perfect for last minute revision and just before you start any topic.<\/span><\/p>\n<p><a href=\"http:\/\/www.askiitians.com\/online-study-packages\/parabola-for-jee-main-advanced\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline;\"><strong><span style=\"color: #ff6600; text-decoration: underline;\">Parabola<\/span><\/strong><\/span><\/a><\/p>\n<p><a href=\"http:\/\/www.askiitians.com\/online-study-packages\/methods-of-differentiation-for-jee-main-advanced\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline;\"><strong><span style=\"color: #ff6600; text-decoration: underline;\">Methods of Differentiation<\/span><\/strong><\/span><\/a><\/p>\n<p><a href=\"http:\/\/www.askiitians.com\/online-study-packages\/sequences-and-series-for-jee-main-advanced\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline;\"><strong><span style=\"color: #ff6600; text-decoration: underline;\">Sequences and Series<\/span><\/strong><\/span><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>If you think someone can predict 5 questions from Algebra in JEE then either he is making JEE paper this year or most likely making fool out of you. A question might be wondering in your mind now, that what\u00c3\u00a2\u00e2\u201a\u00ac\u00e2\u201e\u00a2s the need of reading this article? The answer is, these may or may not be [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":9454,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5,13],"tags":[],"class_list":["post-9440","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-engineering-exams","category-school-exams"],"_links":{"self":[{"href":"https:\/\/www.askiitians.com\/blog\/wp-json\/wp\/v2\/posts\/9440","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.askiitians.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.askiitians.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.askiitians.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.askiitians.com\/blog\/wp-json\/wp\/v2\/comments?post=9440"}],"version-history":[{"count":0,"href":"https:\/\/www.askiitians.com\/blog\/wp-json\/wp\/v2\/posts\/9440\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.askiitians.com\/blog\/wp-json\/wp\/v2\/media\/9454"}],"wp:attachment":[{"href":"https:\/\/www.askiitians.com\/blog\/wp-json\/wp\/v2\/media?parent=9440"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.askiitians.com\/blog\/wp-json\/wp\/v2\/categories?post=9440"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.askiitians.com\/blog\/wp-json\/wp\/v2\/tags?post=9440"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}